Displaying similar documents to “Some results for generalized Lie ideals in prime rings with derivation. II.”

Lie ideals in prime Γ-rings with derivations

Nishteman N. Suliman, Abdul-Rahman H. Majeed (2013)

Discussiones Mathematicae - General Algebra and Applications

Similarity:

Let M be a 2 and 3-torsion free prime Γ-ring, d a nonzero derivation on M and U a nonzero Lie ideal of M. In this paper it is proved that U is a central Lie ideal of M if d satisfies one of the following (i) d(U)⊂ Z, (ii) d(U)⊂ U and d²(U)=0, (iii) d(U)⊂ U, d²(U)⊂ Z.